A NEW APPROXIMATE SOLUTION TO THE MULTIPLE SCATTERING THEORY FOR THE ELASTIC PROPERTIES OF HETEROGENEOUS MATERIALS

The multiple scattering theory has been apowerful tool in determining the effective prop-erties of heterogeneous materials.In this pa-per,a simple relationship between the scatteringtheory and the micromechanics theory based onthe Eshelby principle has been suggested.Ac-cording to the relationship,a new and simpleapproximate solution to the exact multiple scat-tering theory has been given in terms ofEshelby’s S-tensor.The solution easily showsthose known results for isotropic compositeswith spherical inclusions and for tracnsverselyisotropic composites,and first gives non-self-consistent(average t-matrix)and symmetric self-consistent(effective medium or coherentpotential) approximate results for isotropiccomposites with spheroidal inclusions.     

COUPLED LINEAR-RESPONSE OF INHOMOGENEOUS MEDIA:A GENERAL THEORY AND ITS APPLICATIONS

A generally exact theory for predicting the effec-tive behavior of coupled linear-response for inhomogeneous me-dia is developed.The general solutions for the coupled problemsof two fields and three fields are given.The applications of thetheory in the magnetic-electric(magnetoelectricity)propertiesand the thermal-electric-mechanical properties(thermoelasti-city,piezoelectricity,and pyroelectricity)are discussed.Thefirstorder approximations of the thermal-electric-mechanicalproperties of binary transversely isotropic composites are de-rived.     

不等厚度表板夹层板的问题

给出不等厚表板Пpycakob－杜庆华型夹层板正则形式全场方程及广义变分原理。     

某类船舶双底结构的扩充的夹层板模型

本文按工程要求扩充了关于船舶双底结构计算的物理假定,得到了三类典型夹层板基础上的扩充模型,包括折算刚度和变分原理以供应用。也包含了文[1]的最简情况,但在表达方式上作了改进。     

各向异性非均匀非线性热弹性介质的大变位广义平面问题的一种边值模型

本文推广文[2,3],采用二个应力函数、平面位移及温度为变量,建立一种大变位和一般物性关系的热弹性广义平面问题的边值模型。